Home / 1,447.83-2,171.75-407.93

Finding the Fourth Proportional to 1,447.83, 2,171.75 and 407.93

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Solution

The fourth proportional to 1,447.83, 2,171.75 and 407.93 is: 611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.83 : 2,171.75 = 407.93 : x
  2. Step 2: Convert to fraction form
    1,447.83/2,171.75 = 407.93/x
  3. Step 3: Cross multiply
    1,447.83x = 2,171.75 × 407.93
  4. Step 4: Simplify right side
    1,447.83x = 885,909.08
  5. Step 5: Solve for x
    x = 885,909.08/1,447.83
  6. Step 6: Final answer
    x = 611.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.